Reconstructing surfaces from scanned 3D points has been an important research area for several decades. One common approach that has proven efficient and robust to noise is implicit surface reconstruction, i.e. fitting to the points a 3D scalar function (such as an indicator function or signed‐distance field) and then extracting an isosurface. Though many techniques fall within this category, existing methods either impose no boundary constraints or impose Dirichlet/Neumann conditions on the surface of a bounding box containing the scanned data.

中文翻译：

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具有包络约束的泊松曲面重建

几十年来，从扫描的 3D 点重建表面一直是一个重要的研究领域。一种已被证明对噪声有效且鲁棒的常用方法是隐式表面重建，即将 3D 标量函数（例如指示函数或符号距离场）拟合到点上，然后提取等值面。尽管许多技术都属于这一类，但现有方法要么不施加边界约束，要么在包含扫描数据的边界框的表面上施加狄利克雷/诺依曼条件。